73440416 has 48 divisors (see below), whose sum is σ = 168638400. Its totient is φ = 31469760.

The previous prime is 73440407. The next prime is 73440439. The reversal of 73440416 is 61404437.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7631 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (3513300).

Almost surely, 2^73440416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319200).

73440416 is an abundant number, since it is smaller than the sum of its proper divisors (95197984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73440416 is an equidigital number, since it uses as much as digits as its factorization.

73440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 73440416 is about 8569.7383857385. The cubic root of 73440416 is about 418.7727135226.

The spelling of 73440416 in words is "seventy-three million, four hundred forty thousand, four hundred sixteen".